Almost automorphic solutions to second-order semilinear evolution equations |
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| Authors: | Gaston M N’Guérékata |
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| Institution: | Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, MD 21251, USA |
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| Abstract: | In this paper we give some sufficient conditions for ensuring the existence and uniqueness of a mild almost automorphic solution to a second-order semilinear evolution equation in a Banach space. We also present some properties of the (new) notion of a uniform spectrum of bounded functions. |
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| Keywords: | 44A35 42A85 42A75 |
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